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What is the Least Common Multiple of 94054 and 94066?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 94054 and 94066 is 4423641782.

LCM(94054,94066) = 4423641782

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Least Common Multiple of 94054 and 94066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94054 and 94066, than apply into the LCM equation.

GCF(94054,94066) = 2
LCM(94054,94066) = ( 94054 × 94066) / 2
LCM(94054,94066) = 8847283564 / 2
LCM(94054,94066) = 4423641782

Least Common Multiple (LCM) of 94054 and 94066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94054 and 94066. First we will calculate the prime factors of 94054 and 94066.

Prime Factorization of 94054

Prime factors of 94054 are 2, 31, 37, 41. Prime factorization of 94054 in exponential form is:

94054 = 21 × 311 × 371 × 411

Prime Factorization of 94066

Prime factors of 94066 are 2, 7, 6719. Prime factorization of 94066 in exponential form is:

94066 = 21 × 71 × 67191

Now multiplying the highest exponent prime factors to calculate the LCM of 94054 and 94066.

LCM(94054,94066) = 21 × 311 × 371 × 411 × 71 × 67191
LCM(94054,94066) = 4423641782